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In this communication, we present a new approach towards RT-TDDFT throughtime-dependent KS equations based on an \emph{adiabatic eigenstate subspace}(AES) procedure. It introduces a second-order split operator technique inenergy representation to implement the approximate TD propagator in AES. Mostof the elements in TDKS matrix are directly computed in Cartesian coordinategrid (CCG). To demonstrate the internal consistency of our proposed scheme, wecomputed the TD dipole moment and high harmonic generation spectra using anadiabatic local density approximation. The comparison with availabletheoretical results ensures the feasibility of this proposed route.

A real-time TDDFT scheme for strong-field interaction in Cartesian coordinate grid